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Finding the Fourth Proportional to 120,303, 166,016.07 and 66,586.85

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Solution

The fourth proportional to 120,303, 166,016.07 and 66,586.85 is: 91,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,303 : 166,016.07 = 66,586.85 : x
  2. Step 2: Convert to fraction form
    120,303/166,016.07 = 66,586.85/x
  3. Step 3: Cross multiply
    120,303x = 166,016.07 × 66,586.85
  4. Step 4: Simplify right side
    120,303x = 11,054,486,320.60
  5. Step 5: Solve for x
    x = 11,054,486,320.60/120,303
  6. Step 6: Final answer
    x = 91,888.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.